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Finding the Third Proportional to 2,461 and 5,286.75

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Solution

The third proportional to 2,461 and 5,286.75 is: 11,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461 : 5,286.75 = 5,286.75 : x
  2. Step 2: Convert to fraction form
    2,461/5,286.75 = 5,286.75/x
  3. Step 3: Cross multiply
    2,461x = 5,286.75 × 5,286.75
  4. Step 4: Simplify right side
    2,461x = 27,949,725.56
  5. Step 5: Solve for x
    x = 27,949,725.56/2,461
  6. Step 6: Final answer
    x = 11,357.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.